I get brain damage from these please help me. I need a detailed answer of how to do this as well

Answers

Answer 1

Answer: I can’t see the picture it’s blurry post it again

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What is the complement of the angle 178 degrees and 100 degrees

Answers

$Complement - x \n \n 178 + x = 90 \n \n x = 90-178 = -88. \n\n\nComplement-y \n \n 100 + y = 90 \n \n y = 90-100 = -10$

Thus, the complement of 178 is -88 degrees and complement of 100 is -10.

$The\ complement\ of\ an\ angle\ \alpha \ is\ the\ angle\ 90^0- \alpha .\n\n \alpha =178^0\ \ \ \Rightarrow\ \ \ 90^0- \alpha =90^0-178^0=-88^0\n\n\alpha =110^0\ \ \ \Rightarrow\ \ \ 90^0- \alpha =90^0-110^0=-20^0$

A car is moving at a rate of 28 miles per hour and the diameter of its wheels is about 2 1/3 feet. Find the angular speed of the wheel in radians per minute.

Answers

The diameter of the wheel is 2 1/3 ft. So d = 2 + 1/3
Circumference
C = pi*d
C = 3.14*(2 + 1/3)
C = 7.326667

The circumference is roughly 7.32666 feet.
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Convert 7.32666 feet to miles

(7.32666 feet)*(1 mile/5280 feet) = 7.32666/5280 = 0.001387625 miles

7.32666 feet = 0.001387625 miles (approximate)

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(28 miles/1 hour)*(1 revolution/0.001387625 miles) = 28/0.001387625 = 20,178.3623097019 revolutions per hour

Now convert from "revolutions per hour" to "revolutions per minute"

(20,178.3623097019 rev/1 hour)*(1 hour/60 minutes) = 20,178.3623097019/60 = 336.306038495031

The final answer for part A) is 336.306038495031 revolutions per minute (this is approximate).

336.306038495031 rev/1 minute)*(2pi radians/1 rev) = 336.306038495031*2pi = 336.306038495031*2*3.14 = 2,112.0019217488

So the angular speed is roughly 2,112.0019217488 radians per minute

Cathy volunteered to collect cans for a school project. cathy collected 125 cans in 5 days. there were 6 volunteers including cathy who each collected about the same number of cans. about how many cans did they collect ?

Answers

Everyone got 4 cans a day but one person got 5 cans everyday. How? 125/5, cans collect/number of day equals 25 cans a day if you divide by 6 you get 4.1 and they can't collect a fraction of a can so then you do 6*4=24 but you need 25 a day so one of the people got an extra can.

Answer: They collected 750 cans.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of cans collected by Cathy: 125
Number of volunteers (including Cathy) : 6

So, calculate the total number of can that all the volunteers collected we have to simply multiply the number of cans that Cathy collected (125 ,Since each volunteer collected about the same number of cans) by the number of volunteers (6 including Cathy).

125 x 6 = 750 cans.

Feel free to ask for more if needed or if you did not understand something.

You are told that a bank investment can be modeled by a linear equation. The slope of the linear equation is positive and the value for b in the equation is 30,000. What can be said about the initial investment, and is the money increasing or decreasing, based on the information given?

Answers

If the investment can be modeled by a linear equation, the slope positive, and the value for the y-intercept is at 30,000, the equation of the line is
y = mx + 30,000
where m > 0

The initial investment is when x is 0 or the y-intercept. Therefore, the initial investment is $30,000

Since the slope of the line is positive, this means that the investment will increase through time.

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

a)
(0, –2)
b)
(1, –1)
c)
(2, 0)
d)
(3, 3)

Answers

Answer:

Option d) (3,3)

Step-by-step explanation:

A function f(x) and its inverse f^(-1) (x) are symmetrical with respect the right line y=x, then their point of intersection is when they cross the right line y=x. In the attached graph we draw the right line y=x, and the function f(x) crooses this line at the point (3,3), then this point is their intersection point.

Answer:

answer is d

Step-by-step explanation:

How do you factor: x^3 - 8 (x cubed minus 8)

Answers

$x^3 - 8 =x^3-2^3 = (x-2) (x^2 + 2x + 2^2)=(x-2) (x^2 + 2x + 4)\n \n \na^3 - b^3 = (a - b) (a^2 + ab + b^2)$

Answer: (x - 2)(x² + 2x + 4)

Step-by-step explanation: In this problem, we're asked to factor x³ - 8.

Notice that x³ is a perfect cube and 8 is a perfect cube because 8 is 2 × 2 × 2 or 2³. So we have the difference of two cubes.

To factor the difference of two cubes, we use the following formula.

a³ - b³ can be factored as (a - b)(a² + ab + b²) and in this problem, since a³ is represented by x³, the value of a is x and since b³ is represented by 8, the value of b is 2.

So substituting x and 2 into the formula for a and b, we have

[(x) - (2)][(x)² + (x)(2) + (2)²] and notice that we changed the parentheses in the formula to brackets so that we're not dealing with too many sets of parentheses.

Next, simplifying inside the second set of brackets and changing the brackets back to parentheses, we have (x - 2)(x² + 2x + 4) which is our final answer.

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